BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Akshay Venkatesh (Institute for Advanced Study)
DTSTART:20210324T160000Z
DTEND:20210324T170000Z
DTSTAMP:20260418T064850Z
UID:LNTS/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/34/">Ce
 ntral L-values up to squares</a>\nby Akshay Venkatesh (Institute for Advan
 ced Study) as part of London number theory seminar\n\n\nAbstract\nThis is 
 a report on joint work -- in progress  -- with A. Abdurrahman. \nGiven an 
 everywhere unramified symplectic Galois representation\nover a function fi
 eld\, we propose a conjectural formula for its central L-value\nup to squa
 res in the coefficient field\, in terms of a certain cohomological invaria
 nt\nof the representation.   \n  \nI'll describe three types of evidence f
 or this conjecture\, coming\nfrom numerical examples\, topology\, and auto
 morphic forms. \nThen I will discuss (much more speculatively) what the ra
 mified/number field\nanalogue of the formula might be\, and its potential 
 relationship to a theory\nof "higher epsilon factors."\n
LOCATION:https://researchseminars.org/talk/LNTS/34/
END:VEVENT
END:VCALENDAR